6 papers
Maximal Minimal Spacing for Random Points
Fabio Deelan Cunden, Noemi Cuppone, Giovanni Gramegna +1
From random points on a line we wish to select points so as to maximize the minimal spacing between them. We consider an initial configuration with independent and iden…
Combinatorial Exploration of Multidrug Polyspecificity in Efflux Pumps
Fabio Deelan Cunden, Juan Carlos Jimenez-Castellanos, Raquel Ortega Munoz
A defining feature of efflux pumps is multidrug polyspecificity, which to date still eludes some of the traditional dogmas of drug binding within protein science. We propose a comb…
Relative volume of comparable pairs under semigroup majorization
Fabio Deelan Cunden, Jakub Czartowski, Giovanni Gramegna +1
Any semigroup of stochastic matrices induces a semigroup majorization relation on the set of probability -vectors. Pick at r…
Condensation of vanishing photon emission rates in random atomic clouds
Viviana Viggiano, Romain Bachelard, Fabio Deelan Cunden +5
In the collective photon emission from atomic clouds both the atomic transition frequency and the decay rate are modified compared to a single isolated atom, leading to the effects…
Truncated quantum observables and their semiclassical limit
Fabio Deelan Cunden, Marilena Ligabò, Maria Caterina Susca
For quantum observables truncated on the range of orthogonal projections of rank , we study the corresponding Weyl symbol in the phase space in the semiclassical limi…
-shaped random matrices, -plane trees, and -Dyck paths
Elia Bisi, Fabio Deelan Cunden
We consider random matrices whose shape is the dilation of a self-conjugate Young diagram . In the large- limit, the empirical distribution of the squared singular val…